Finding the Third Proportional to 16,585 and 35,842

Step by Step Solution

1. Step 1: Write the proportion equation
   16,585 : 35,842 = 35,842 : x
2. Step 2: Convert to fraction form
   16,585/35,842 = 35,842/x
3. Step 3: Cross multiply
   16,585x = 35,842 × 35,842
4. Step 4: Simplify right side
   16,585x = 1,284,648,964
5. Step 5: Solve for x
   x = 1,284,648,964/16,585
6. Step 6: Final answer
   x = 77,458.48